Consolidated Power, a large electric power utility, has just
built a modern nuclear power plant. This plant discharges waste
water that is allowed to flow into the Atlantic Ocean. The
Environmental Protection Agency (EPA) has ordered that the waste
water may not be excessively warm so that thermal pollution of the
marine environment near the plant can be avoided. Because of this
order, the waste water is allowed to cool in specially constructed
ponds and is then released into the ocean. This cooling system
works properly if the mean temperature of waste water discharged is
60°F or cooler. Consolidated Power is required to monitor the
temperature of the waste water. A sample of 100 temperature
readings will be obtained each day, and if the sample results cast
a substantial amount of doubt on the hypothesis that the cooling
system is working properly (the mean temperature of waste water
discharged is 60°F or cooler), then the plant must be shut down and
appropriate actions must be taken to correct the problem.
(a) Consolidated Power wishes to set up a
hypothesis test so that the power plant will be shut down when the
null hypothesis is rejected. Set up the null hypothesis
H0 and the alternative hypothesis
Ha that should be used.
H0: μ (Click to select)≤> 60
versus Ha: μ (Click to select)≤>
60.
(b) Suppose that Consolidated Power decides to use a level of significance of α = .05 and suppose a random sample of 100 temperature readings is obtained. If the sample mean of the 100 temperature readings is x⎯⎯x¯ = 61.296, test H0 versus Ha and determine whether the power plant should be shut down and the cooling system repaired. Perform the hypothesis test by using a critical value and a p-value. Assume σ = 6. (Round your z to 2 decimal places and p-value to 4 decimal places.)
z | |
p-value | |
(Click to select)Do not rejectReject H0. So the
plant (Click to select)should not beshould be shut down and the
cooling system repaired.
Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This...
Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste water that is allowed to flow into the Atlantic Ocean. The Environmental Protection Agency (EPA) has ordered that the waste water may not be excessively warm so that thermal pollution of the marine environment near the plant can be avoided. Because of this order, the waste water is allowed to cool in specially constructed ponds and is then released into the...
Drop down options for question a and be are: greater than less than or equal to Drop down options for part c are: type 1 or type 2 smaller or larger Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste water that is allowed to flow into the Atlantic Ocean. The Environmental Protection Agency (EPA) has ordered that the waste water may not be excessively warm so that thermal pollution...
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